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454010240 = 2753112281
BaseRepresentation
bin11011000011111…
…010010110000000
31011122022002222002
4123003322112000
51412211311430
6113015003132
714152011005
oct3303722600
91148262862
10454010240
11213305682
121080694a8
13730a2118
14444238ac
1529cd1845
hex1b0fa580

454010240 has 64 divisors (see below), whose sum is σ = 1089335520. Its totient is φ = 180940800.

The previous prime is 454010233. The next prime is 454010267. The reversal of 454010240 is 42010454.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4540102402 = 412250596049715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197900 + ... + 200180.

Almost surely, 2454010240 is an apocalyptic number.

454010240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544667760).

454010240 is an abundant number, since it is smaller than the sum of its proper divisors (635325280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454010240 is a wasteful number, since it uses less digits than its factorization.

454010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 454010240 is about 21307.5160448139. The cubic root of 454010240 is about 768.5790627053.

Adding to 454010240 its reverse (42010454), we get a palindrome (496020694).

The spelling of 454010240 in words is "four hundred fifty-four million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 311 320 622 640 1244 1555 2281 2488 3110 4562 4976 6220 9124 9952 11405 12440 18248 19904 22810 24880 36496 39808 45620 49760 72992 91240 99520 145984 182480 199040 291968 364960 709391 729920 1418782 1459840 2837564 3546955 5675128 7093910 11350256 14187820 22700512 28375640 45401024 56751280 90802048 113502560 227005120 454010240